Finding the Third Proportional to 359,807.50 and 775,665.50

Step by Step Solution

1. Step 1: Write the proportion equation
   359,807.50 : 775,665.50 = 775,665.50 : x
2. Step 2: Convert to fraction form
   359,807.50/775,665.50 = 775,665.50/x
3. Step 3: Cross multiply
   359,807.50x = 775,665.50 × 775,665.50
4. Step 4: Simplify right side
   359,807.50x = 601,656,967,890.25
5. Step 5: Solve for x
   x = 601,656,967,890.25/359,807.50
6. Step 6: Final answer
   x = 1,672,163.50